1957286680 has 96 divisors (see below), whose sum is σ = 4676192640. Its totient is φ = 736542720.

The previous prime is 1957286641. The next prime is 1957286701. The reversal of 1957286680 is 866827591.

It is a super-2 number, since 2×1957286680² = 7661942295410844800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1696984 + ... + 1698136.

It is an arithmetic number, because the mean of its divisors is an integer number (48710340).

Almost surely, 2^1957286680 is an apocalyptic number.

1957286680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957286680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2338096320).

1957286680 is an abundant number, since it is smaller than the sum of its proper divisors (2718905960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1957286680 is a wasteful number, since it uses less digits than its factorization.

1957286680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1269 (or 1228 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 52.

The square root of 1957286680 is about 44241.2328037997. The cubic root of 1957286680 is about 1250.8871952254.

The spelling of 1957286680 in words is "one billion, nine hundred fifty-seven million, two hundred eighty-six thousand, six hundred eighty".